A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achievethis goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set ofcourses results in a mean math score of 24.4 on the college entrance exam with a standard deviation of 3.1. Do these results suggest that students who complete the core curriculumare ready for college-level mathematics? That is, are they scoring above 24 on the mathematics portion of the exam? Complete parts a) through d) below.***b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.A. The sample size is larger than 30.B. The students were randomly sampled.C. A boxplot of the sample data shows no outliers.D. The students' test scores were independent of one another.E. The sample data come from a population that is approximately normal.View an exampleHelp me solve thisGet more help -Clear allCheck answer#Type here to searchBi 0aO1:32 PM6/18/2022R5B681hp(?)(95°F Mostly sunny A

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A new drug is being tested to see if it reduces the frequency of migraines. Study participants were divided into two groups. 49 participants in group 1 received the medication; 42 participants in group 2 received a placebo. After a period of six months, group 1 had a mean of 4 migraines. It is known that the population standard deviation for this group is 1.3 migraines. Group 2 had a mean of 5.4 migraines. The population standard deviation for this group is 1.7 migraines. Can we conclude that the medication reduces the population mean number of migraines? Use αα =0.01. Note: If t-test, then unequal variances are assumed. Question a)Let: μ1μ1 = the population mean number of migraines with the medication μ2μ2 = the population mean number of migraines with the placebo (Step 1) State the null and alternative hypotheses by selecting the appropriate symbol, and identify which tailed test: H0:H0: μ1μ1 μ2μ2 H1:H1: μ1μ1 μ2μ2 Which tailed test…
A company conducted a survey on the number of hours employees spend on a particular task per week. The data collected from a sample of 10 employees are as follows: 5, 6, 7, 8, 9, 10, 10, 11, 12, 13. Calculate the standard deviation of the hours spent on the task per week.
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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
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